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Finding the Fourth Proportional to 3,976.68, 5,964.20 and 1,378.74

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Solution

The fourth proportional to 3,976.68, 5,964.20 and 1,378.74 is: 2,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.68 : 5,964.20 = 1,378.74 : x
  2. Step 2: Convert to fraction form
    3,976.68/5,964.20 = 1,378.74/x
  3. Step 3: Cross multiply
    3,976.68x = 5,964.20 × 1,378.74
  4. Step 4: Simplify right side
    3,976.68x = 8,223,081.11
  5. Step 5: Solve for x
    x = 8,223,081.11/3,976.68
  6. Step 6: Final answer
    x = 2,067.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.